We do. Mainly because he doesn't get academically challenged in school. This is our last year of private school and we begin homeschooling full time.
For the summer, he has to chose 2 sports (usually swimming and something else). He has to chose 1 1 week long, half-day camp (lego, theater, etc.).
For academics, we usually work no more than an hour a day. He really likes things from the Critical Thinking Company.
This year, he will do 1 class with EPGY. 20 mins a day.
The rest of the time, he explores his own ideas and creations.
That's the same problem our DD8 had in public school, and that's how summer became such an important detox program for her. It's probably a sign of how well homeschooling has worked out this year that she's actually interested in maintaining one summer activity.
Ultimately it's up to the parent to figure out whether the needed summer solution is "feed the beast" or "back off." The kids are pretty good at communicating the needed approach, if someone is listening.
